×

zbMATH — the first resource for mathematics

A theorem concerning the decomposition of weakly nonlinear extensions of dynamical systems. (Russian) Zbl 0568.34032
The author’s main aim is to prove that, if the linear extension \(p: (X,\pi)\to (B,\rho)\) satisfies a certain condition of exponential type, then each nonlinear extension \(p: (X,\lambda)\to (B,\rho)\) sufficiently close to it may be represented as a Whitney sum of two extensions \(p: (X_ 1^{\lambda},\lambda)\to (B,\rho)\) and \(p: (X_ 2^{\lambda},\lambda)\to (B,\rho)\).
Reviewer: N.Luca
MSC:
37-XX Dynamical systems and ergodic theory
Keywords:
Whitney sum
PDF BibTeX XML Cite
Full Text: EuDML